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Finding the Fourth Proportional to 600.66, 899.58 and 383.58

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Solution

The fourth proportional to 600.66, 899.58 and 383.58 is: 574.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.66 : 899.58 = 383.58 : x
  2. Step 2: Convert to fraction form
    600.66/899.58 = 383.58/x
  3. Step 3: Cross multiply
    600.66x = 899.58 × 383.58
  4. Step 4: Simplify right side
    600.66x = 345,060.90
  5. Step 5: Solve for x
    x = 345,060.90/600.66
  6. Step 6: Final answer
    x = 574.47

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.